About: This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show that it is always possible to choose from the numerical representations, one relatively for which all the Shapley interaction indices are strictly positive. We illustrate our results with an example.   Goto Sponge  NotDistinct  Permalink

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  • This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show that it is always possible to choose from the numerical representations, one relatively for which all the Shapley interaction indices are strictly positive. We illustrate our results with an example.
Subject
  • Analysis
  • Functional analysis
  • Prediction
  • Decision-making
  • Concepts in logic
  • Concepts in metaphysics
  • Mathematical terminology
  • Neuropsychological assessment
  • Unsolved problems in neuroscience
  • Measures (measure theory)
  • Necessity and sufficiency
  • Dichotomies
  • Conditionals
  • Expected utility
  • Definitions of mathematical integration
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